# Questions tagged [wolfram-alpha]

For mathematical questions related to the usage of Wolfram Alpha.

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1answer
43 views

### $F(x,y)=(x^2,y)$ is not differentiable (According to WA), what am I missing?

Either wolfram alpha is getting crazy or I just completely misunderstood differentiability. Shouldn't it be enough for the partial derivatives to exist and to be continuous? Would the differential not ...
1answer
53 views

### Is the inequality $\sqrt{(2^r + 1)(t + 1)} \leq \min(2^r, t)$ false in general?

My question here is pretty basic: Is the inequality $\sqrt{(2^r + 1)(t + 1)} \leq \min(2^r, t)$ false in general? I tried asking WolframAlpha for its solutions, it says that no solutions exist. I ...
4answers
77 views

### $\lim_{z\to1}\frac{1-z^*}{1-z}$ using Wolfram Alpha

I wanted to verify the answer to many questions on limits of complex numbers. So, I tried using Wolfram Alpha for the same. $$\lim_{z\to1}\frac{1-z^*}{1-z}$$ does not exist. [using path $y=m(1-x)$] ...
0answers
5 views

### How to plot a skewed randon numbers on Wolfram Alpha, basically non-linear Ox axis?

I want to see Gauss' bell, but drawn over non-linear Ox axis. Basically i want to visually "catch" some asymetric and very rough plot, that hopefully is just a transformed normal ...
0answers
20 views

### Can Wolframalpha.com display the image of the map $(x,y,z) \rightarrow (x^{2}y,x-z)$?

I can do functions, like $f(x,y,z) = 1$. But is it possible to show the image of this morphism too; $(x,y,z) \rightarrow (x^{2}y,x-z)$?
1answer
81 views

### Maximise $(\cos x\ln (x^{\frac1x})-\frac{\cos x\log_{10}x}{\ln(\ln x)})^{\cos x}$

Maximise $$\large \left(\cos x\ln (x^{\frac1x})-\frac{\cos x\log_{10}x}{\ln(\ln x)}\right)^{\cos x}$$ I wonder why Mathematica says infinity as answer, but on desmos graph it is clear that it is less ...
1answer
62 views

### Third vertex of equilateral SPHERICAL triangle

I’m trying to solve Fermat’s problem on sphere for the given triangle ABC using wolfram.I already made out,that in order to find a Fermat’s point i need to build three equilateral triangles on each ...
0answers
85 views

### Wolfram Alpha unknown spooky result for a second derivative evaluated at $\frac 12$. What is the SlowLarge error? [closed]

This is an unexpected short question. Here is the link for this problem. This result should simplify to a π based constant. Here is a photo for this issue: Here is the source for this question: HERE ...
0answers
26 views

### Discrepancy in Wolfram Alpha for the domain of $(\log{x})^{-e^x}$

In my question Question I have discussed in the comments of the domain of $$(\log{x})^{-e^x}$$ In wolfram alpha as matter of fact the domain is $x\geq 1$, but I am not convinced of this fact since ...
1answer
38 views

### How to calculate the constants of the result of a differential equation [closed]

I am trying unsuccesfully to solve this simple problem with Wolfram Alpha given an equation with constants. $$x(t) = c_2 \sin(t w) + c_1 \cos(t w) + \frac{g u}{w^2}$$ I want to calculate the values of ...
1answer
18 views

### Is it possible to use imaginary guesses with secant method?

I was playing with Wolfram Alpha today, and noticed that while I could use, say, $2i$ as a guess to solve $e^x+2=0$ with the help of Newton's method, I couldn't do the same with the secant method. Is ...
1answer
27 views

### Does every Matrix have a REF?

I'm wondering if anyone here has experience using Wolframalpha? I can't seem to get a row echelon form (REF) or echelon form, it always does reduced row echelon form (R-REF). Anybody know how to get ...
1answer
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### Mathematica for computing number and diameter of closed curves in the Riemann Sphere

I am currently learning Python but I don't know (YET!) any language like Mathematica, Matlab, Maple, Octave and so on. I have a Math problem I would like to attack numerically and I need to know which ...
4answers
214 views

### Calculating a limit. Is WolframAlpha wrong or am I wrong?

What I'm trying to solve: $$\lim _{x\to -\infty \:}\frac{\left(\sqrt{\left(x^2+14\right)}+x\right)}{\left(\sqrt{\left(x^2-2\right)}+x\right)}$$ What I put into WolframAlpha: ...
1answer
71 views

### Closed form expression for eigenvectors of 2x2 matrix?

Is there a closed form expression for the eigenvalues/eigenvectors of an arbitrary 2x2 matrix $\begin{bmatrix} a & b \\ c & d \end{bmatrix}$? Wolfram|Alpha tries to provide an ...
1answer
27 views

### How to count the number of elements needed to get a certain sum?

I want to find $x$ in this equation: $$\sum_{n=1}^x\left[\left(1- {49\choose6}^{-1}\right)^{n-1} \times {49 \choose 6}^{-1}\right] \geqslant 0.5$$ If I'm thinking correctly, that's the question of ...
2answers
41 views

### Non-converging integral that should be 0

A question requires you to prove that $$\int_0^\infty f(\frac{x}{a}+\frac{a}{x})\frac{\ln{x}}{x}dx=\ln{a}\int_0^\infty f(\frac{x}{a}+\frac{a}{x})\frac{1}{x}dx...........(1)$$ I made the substitution x=...
1answer
42 views

### Is partial differentiation not available in wolframalpha? [closed]

The following sets do not match. ...
1answer
35 views

### Continuation of Hypergeometric Function when $a - b$ is natural number

I am currently implementing the 2F1 Gaussian hypergeometric function numerically, and need to know its continuation for $|z| > 1$. I have researched this and found this nice formula in the ...
1answer
50 views

### How to rewrite 0.ceil(x) in a way that wolfram alpha will accept it

I have been trying to put $0.\lceil{x}$ in wolfram alpha, but it keeps thinking that I am trying to type $0*\lceil{x}$. I've tried experimenting with the idea that when $0<x\le10$, I can write it ...
0answers
29 views

### How can I find the expected value and variance of a function using WolframAlpha?

I am struggling to find the expected value (or variance) $E(X)$ of a function using Wolfram Alpha. Writing something like: Find expected value/variance of $f(x)=\frac{1}{e^x}$ for $x$>1 Doesn't ...
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1answer
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### What is causing this weird behaviour in Wolfram Alpha, when computing this infinite Sum involving the Zeta function?

This is the Sum: $$\sum\limits_{n=1}^{\infty} \frac{\zeta(2n+1)-1}{\zeta(2n)-1}$$ Sum is divergent, but Wolfram acts weird and after a correct display of early values, it starts converging to a random ...
2answers
40 views

### Finding Nth term using a generating function

Good day everyone I am in need of help, I was using an online program to solve a sequence, the name of the program is WolframAlpha and using it I was able to get the actual nth term that I was looking ...
0answers
37 views

### How does WolframAlpha calculate the alternate forms of sin(x)?

I have been searching up the sine of some angles and I noticed that WolframAlpha had some alternate forms that had division and square roots (but only for angles divisible by 3), kind of like sine of ...
2answers
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1answer
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